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Finding the Fourth Proportional to 175.13, 262.64 and 82.57

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Solution

The fourth proportional to 175.13, 262.64 and 82.57 is: 123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 262.64 = 82.57 : x
  2. Step 2: Convert to fraction form
    175.13/262.64 = 82.57/x
  3. Step 3: Cross multiply
    175.13x = 262.64 × 82.57
  4. Step 4: Simplify right side
    175.13x = 21,685.77
  5. Step 5: Solve for x
    x = 21,685.77/175.13
  6. Step 6: Final answer
    x = 123.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.